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Finding the Fourth Proportional to 7,854.62, 11,752.09 and 4,841.87

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Solution

The fourth proportional to 7,854.62, 11,752.09 and 4,841.87 is: 7,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.62 : 11,752.09 = 4,841.87 : x
  2. Step 2: Convert to fraction form
    7,854.62/11,752.09 = 4,841.87/x
  3. Step 3: Cross multiply
    7,854.62x = 11,752.09 × 4,841.87
  4. Step 4: Simplify right side
    7,854.62x = 56,902,092.01
  5. Step 5: Solve for x
    x = 56,902,092.01/7,854.62
  6. Step 6: Final answer
    x = 7,244.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.